What's the answer?

A) Y= 2x
B) Y= -2x - 4
C) Y= 2x - 2
D) Y= 2x + 2

Answer:

a=5

b=-4

c=8

Step-by-step explanation:

Answer:

30 pounds of raspberries and 50 pounds of blueberries

Step-by-step explanation:

Let's use b to represent blueberries and r for raspberries. Each pound of raspberries costs $1, so to find the total cost of raspberries we use 1r, which is just r. For blueberries, we do 3.25b.

r+3.25b=192.5

We also know that we can combine the numbers for 80 total pounds.

r+b=80

We can subtract the two equations we have made to eliminate the r and solve for b.

2.25b=112.5

We divide both sides by 2.25.

b=50

We know that r+b=80, so if b is 50 then r must be 30.

Have a wonderful day! :D

Answer:

50lbs of blueberries = $162.50

30lbs raspberries = $30.00

$192.50 total

Step-by-step explanation:

- 80 pounds totaling at $192.50 -

I found the answer by guessing/estimating between the pound amounts and prices. I eventually got down to 50lbs of blueberries and 30lbs raspberries

3.25 x 40 = $130.00

1 x 40 = $40.00

3.25 x 45 = $146.25

1 x 35 = $35.00

Final Answer:

3.25 x 50 = $162.50

1 x 30 = $30

$162.50 + $30.00 = $192.50

Writing linear equations given two points can be a useful skill when graphing linear equations.

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The relation between mode, mean and median is:

mode=3median-2mean

Now, to find mean:

2mean=3median-mode

mean=7/2 = 3.5

Let we wish to evaluate the mean  μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.

The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.

The random variable X¯ has a mean, denoted  μX¯, and a standard deviation, denoted  σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.

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Answer:

(-2) and 3

Step-by-step explanation:

Answer:

f=-2, f=3, f=-4, they are all smaller than 4!!!

Given the function

The formula to find the average rate of change of y with respect to x in [a,b]

Here, a = 1 and b = 4.

The instantaneous rate of change is the slope of the tangent line at x = 1.

Slope at x = 1 is

So, the instantaneous rate of change is 4.

Answer:

x = -3

y = 2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(-3,2)

Equation Form:

x = -3, y = 2

Answer:

10 <√111 <11

Step-by-step explanation:

10 <√111 <11

Place given number between two consecutive integers: 10 <√111 <11

Answer: 10 <√111 <11

Given:

Point = (1,-4), Slope - 8

Point = (1,5), Slope =1

To find:

The slope-intercept forms of the given lines.

Solution:

The slope intercept form of a line is:

\(y=mx+b\)

The point slope form is:

\(y-y_1=m(x-x_1)\)

where, m is the slope of the line.

We have, Point = (1,-4), Slope - 8. So, the equation of the line is:

\(y-(-4)=-8(x-1)\)

\(y+4=-8x+8\)

\(y=-8x+8-4\)

\(y=-8x+4\)

Therefore, the correct option is B.

We have, Point = (1,5), Slope =1. So, the equation of the line is:

\(y-5=1(x-1)\)

\(y-5=x-1\)

\(y=x-1+5\)

\(y=x+4\)

Therefore, the correct option is D.

Answer:

y = 15° , ∠BAC = 78° , ∠ABC = 68° , ∠ACB = 34°

Step-by-step explanation:

we can find ∠ACB as it lies on a straight line,

∠ACB + 146 = 180°

∠ACB = 180° - 146°

∠ACB = 34°

We know that all sides of triangle equals to 180°

so,

∠BAC + ∠ABC + ∠ACB = 180°

5y + 3 + 4y + 8 + 34 = 180°

9y + 45° = 180°

9y = 135°

y = 15°

So know we can find angles =

∠BAC = 5y + 3 = 5(15) + 3 = 78°

∠ABC =  4y + 8 =  4(15) + 8 = 68°

we already know that ∠ACB = 34°

Answer:

Step-by-step explanation:

5 3/4 + 2 1/2

Add the whole numbers first

5 + 2

Add the fractions next

3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 and 1/4

The total is

7 + 1 1/4 = 8 1/4

Step-by-step explanation:

solution given:

\(5 \times \frac{3}{4} + 2 \times \frac{1}{2} \\ \frac{23}{4} + \frac{5}{2} \\ \frac{23 + 10}{4} \\ \frac{33}{4} \\ is your answer\)

Answer:

Infinitely many solutions

Step-by-step explanation:

Equation:

7(y-2)= 7y - 14

1. Simplify each side

7y - 14 = 7y - 14

Infinitely many solutions

The hypotenuse of the right triangle ABC, with legs of 5 and 12 inches is 13 inches, computed using the Pythagoras Theorem. Hence, the 3rd option is the right choice.

The Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is always equal to the sum of the squares of the other two legs.

If the hypotenuse is taken as a, and the two legs are taken as b and c, then by the Pythagoras Theorem, we can write that:

a² = b² + c².

In the question, we are given that the right triangle ABC, has legs of lengths 5 and 12 inches each, and we are asked to find the length of the hypotenuse.

Thus, taking b = 5 and c = 12, in the above equation, we get:

a² = 5² + 12²,

or, a² = 25 + 144,

or, a² = 169,

or, a² = 13²,

or, a = 13.

Thus, the hypotenuse of the right triangle ABC, with legs of 5 and 12 inches is 13 inches, computed using the Pythagoras Theorem. Hence, the 3rd option is the right choice.

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Using compound interest formula, the value after 1 year is  501.8005

To calculate the value of the 500 certificates of deposit after one year, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment

P = the principal amount (in this case, the amount of one certificate, which we assume to be $1)

r = the annual interest rate (0.6% or 0.006 as a decimal)

n = the number of times the interest is compounded in a year (we assume it is compounded annually, so n = 1)

t = the time period of the investment in years (1 year)

Plugging in the values, we get:

A = 1(1 + 0.006/1)^(1*500)

A = $1.0036001 (rounded to 7 decimal places)

Multiplying this by the number of certificates (500), we get:

500 * 1.0036001 = 501.8005

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The variable y represents the cost of the gym for x months and the varible x represents the number of months of membership for the gym.

So the meaning of the y-value for x = 1 is the cost a person will need to pay in order to use the gym for 1 month.

10 choose 3 with replacement gives you a mere 220 combinations. A “combination” lock uses permutations, so there would be 1000 possibilities.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

Mathematically, a combination is a selection of things without regard for order.

The formula for “combination with replacement” is:

   \(C^{R} (n,r)=\frac{(n+r-1)!}{r! (n-r)!}\)

10 choose 3 with replacement gives you a mere 220 combinations.

The toss of three identical 10-sided dice would have 220 possible outcomes.

Hence, A “combination” lock uses permutations, so there would be 1000 possibilities.

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Answer:

160.58

Step-by-step explanation:

Answer:

= -10.03 if u subtract if u add its =160.58

Step-by-step explanation:

Answer: x=3 , y=1

Step-by-step explanation:i good at that kind of thing

The resulting values of ZL will be the possible angles opposite to side KL in triangle AJKL.

To find the possible values of ZL in triangle AJKL, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.

Let's denote ZL as the angle opposite to side KL. We are given the following information:

1 = 61 cm (length of side AJ)

k = 42 cm (length of side JK)

/K = 41° (measure of angle J)

Using the Law of Sines, we have the following relationship:

sin ZL / KL = sin /K / JK

Substituting the given values:

sin ZL / KL = sin 41° / 42

We can solve this equation for sin ZL:

sin ZL = (sin 41° / 42) \(\times\) KL

Now, we know that the sine of an angle can have multiple values for different angles. We can use the inverse sine (arcsin) function to find the possible values of ZL. Taking the arcsin of both sides, we have:

ZL = arcsin((sin 41° / 42) \(\times\) KL)

To find all possible values of ZL, we need to substitute different values of KL (length of side KL) and calculate ZL using the equation above.

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Answer:

62.5

Step-by-step explanation:

120% = 75

100% = ?

cross multiply

62.5

Her original score was 62.5

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, her new score as 75 then let his original score be x

then 75 = (1+20%) × x

           x= 75/1.2

             = 62.5

Hence, the original score is 62.5

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Answer:

Can you provide a picture please?

Step-by-step explanation:

Answer:

x = 1.5 , y = 0.5

Step-by-step explanation:

y = - x + 2 → (1)

y = 3x - 4 → (2)

substitute y = 3x - 4 into (1)

3x - 4 = - x + 2 ( add x to both sides )

4x - 4 = 2 ( add 4 to both sides )

4x = 6 ( divide both sides by 4 )

x = \(\frac{6}{4}\) = 1.5

substitute x = 1.5 into either of the 2 equations and solve for y

substituting into (1)

y = - 1.5 + 2 = 0.5

Answer:

.

The volume in Coulmn B cone is larger.

Step-by-step explanation:

correct on edge 2021 also if you solve for both cones coulmn Bs cone is bigger

Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = \(\frac{y^2-y^1}{x^2-x^1}\)      Slope formula

\(M=\frac{9-3}{7-4}\)       Using the slope formula, plot both x and y intercepts

\(M=\frac{6}{3}\)           Slope needs to be simplified into a whole number

\(M=2\)          

We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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Answer:

A. Covering the entire box is the surface area, which is 664 in.

Step-by-step explanation:

I did the test myself. Have a great day/night! Good luck with the rest of your test! <3

Answer:

Joe

Step-by-step explanation:

Strat: Solve both for 1 hour. 48/3=16(Ron)

34/2=17(Joe)

The area of the region that lies inside the curve r = 1 cosθ and outside the curve r = 2-cosθ is 6π square units.

To find the area of the region that lies inside the curve r = 1 cosθ and outside the curve r = 2-cosθ, we need to follow the given steps.

Step 1: Determine the points of intersection of the curves

To determine the points of intersection of the curves, we equate the two curves and solve for θ.

r = 1 cosθ and r = 2-cosθ1

cosθ= 2-cosθ

2 cosθ = 2cosθ = 2/2cosθ

a = 1θ = π/4, 7π/4

So, the curves intersect at the angles θ = π/4 and θ = 7π/4.

Step 2: Determine the area bounded by the two curves

To determine the area bounded by the two curves, we need to integrate the difference of the outer curve and the inner curve with respect to θ between the limits π/4 and 7π/4.

∫(2-cosθ)² - (1 cosθ)² dθ, π/4 ≤ θ ≤ 7π/4

Using the formula (cosθ)² = (1 + cos2θ)/2, we can simplify the expression:

(2-cosθ)² - (1 cosθa)² = (4-4cosθ + cos²θ) - (1-2cosθ + cos²θ)= 3 - 2cosθ

The integral becomes

∫(3-2cosθ) dθ, π/4 ≤ θ ≤ 7π/4

= 3θ - 2 sinθ, π/4 ≤ θ ≤ 7π/4

= 3(7π/4) - 2 sin(7π/4) - 3(π/4) + 2 sin(π/4)

= 21π/4 + √2 + 3π/4 - √2= 6π

So, the area of the region that lies inside the curve r = 1 cosθ and outside the curve r = 2-cosθ is 6π square units.

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Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.